| The Neon Rain | 1987 |
| Heaven’s Prisoners | 1988 |
| Black Cherry Blues | 1989 |
| A Morning for Flamingos | 1990 |
| A Stained White Radiance | 1992 |
| In the Electric Mist with Confederate Dead | 1993 |
| Dixie City Jam | 1994 |
| Burning Angel | 1995 |
| Cadillac Jukebox | 1996 |
| Sunset Limited | 1998 |
| Purple Cane Road | 2000 |
| Jolie Blon’s Bounce | 2002 |
| Last Car to Elysian Fields | 2003 |
| Crusader’s Cross | 2005 |
| Pegasus Descending | 2006 |
| The Tin Roof Blowdown | 2007 |
| Swan Peak | 2008 |
| The Glass Rainbow | 2010 |
| Creole Belle | 2012 |
| Light of the World | 2013 |
| Robicheaux | 2018 |
| The New Iberia Blues | 2019 |
| A Private Cathedral | 2020 |